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48450 = 23521719
BaseRepresentation
bin1011110101000010
32110110110
423311002
53022300
61012150
7261153
oct136502
973413
1048450
1133446
1224056
131908c
141392a
15e550
hexbd42

48450 has 48 divisors (see below), whose sum is σ = 133920. Its totient is φ = 11520.

The previous prime is 48449. The next prime is 48463. The reversal of 48450 is 5484.

48450 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2541 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

248450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

48450 is an abundant number, since it is smaller than the sum of its proper divisors (85470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48450 is a wasteful number, since it uses less digits than its factorization.

48450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 48450 is about 220.1136070306. The cubic root of 48450 is about 36.4556288243.

The spelling of 48450 in words is "forty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 19 25 30 34 38 50 51 57 75 85 95 102 114 150 170 190 255 285 323 425 475 510 570 646 850 950 969 1275 1425 1615 1938 2550 2850 3230 4845 8075 9690 16150 24225 48450